### Abstract

For the 2-dimensional Navier-Stokes System written for the stream functions we construct a set of initial data for which initial critical points bifurcate into three critical points. This can be interpreted as the birth of new viscous vortices from a single one. In another class of solutions vortices merge, i.e. the number of critical points decrease.

Original language | English (US) |
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Title of host publication | Essays in Mathematics and its Applications |

Subtitle of host publication | In Honor of Stephen Smale´s 80th Birthday |

Publisher | Springer Berlin Heidelberg |

Pages | 241-269 |

Number of pages | 29 |

ISBN (Electronic) | 9783642288210 |

ISBN (Print) | 9783642288203 |

DOIs | |

State | Published - Jan 1 2012 |

### All Science Journal Classification (ASJC) codes

- Mathematics(all)

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## Cite this

Li, D., & Sinai, Y. G. (2012). Bifurcations of solutions of the 2-dimensional Navier-Stokes system. In

*Essays in Mathematics and its Applications: In Honor of Stephen Smale´s 80th Birthday*(pp. 241-269). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-642-28821-0_10